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Finding the Fourth Proportional to 145,701.75, 218,561.40 and 45,865.20

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Solution

The fourth proportional to 145,701.75, 218,561.40 and 45,865.20 is: 68,800.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,701.75 : 218,561.40 = 45,865.20 : x
  2. Step 2: Convert to fraction form
    145,701.75/218,561.40 = 45,865.20/x
  3. Step 3: Cross multiply
    145,701.75x = 218,561.40 × 45,865.20
  4. Step 4: Simplify right side
    145,701.75x = 10,024,362,323.28
  5. Step 5: Solve for x
    x = 10,024,362,323.28/145,701.75
  6. Step 6: Final answer
    x = 68,800.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.